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Optimal Control with Sweeping Processes: Numerical Method

Author

Listed:
  • MdR Pinho

    (Faculdade de Engenharia da Universidade do Porto, DEEC, SYSTEC)

  • M. M. A. Ferreira

    (Faculdade de Engenharia da Universidade do Porto, DEEC, SYSTEC)

  • G. Smirnov

    (Universidade do Minho)

Abstract

This paper focuses on numerical methods for a class of optimal control problems involving sweeping processes. We consider a problem, where the sweeping set is constant and coincides with the 0 level set of a $$C^2$$C2 convex function. For such problems, we propose a numerical method based on a sequence of approximating standard optimal control problems. We illustrate our method treating numerically an example.

Suggested Citation

  • MdR Pinho & M. M. A. Ferreira & G. Smirnov, 2020. "Optimal Control with Sweeping Processes: Numerical Method," Journal of Optimization Theory and Applications, Springer, vol. 185(3), pages 845-858, June.
    • Handle: RePEc:spr:joptap:v:185:y:2020:i:3:d:10.1007_s10957-020-01670-5
    DOI: 10.1007/s10957-020-01670-5
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    Cited by:

    1. Maria do Rosário de Pinho & Maria Margarida A. Ferreira & Georgi Smirnov, 2023. "A Maximum Principle for Optimal Control Problems Involving Sweeping Processes with a Nonsmooth Set," Journal of Optimization Theory and Applications, Springer, vol. 199(1), pages 273-297, October.

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